MARC Record from marc_columbia

LEADER: 05550cam a2200685Ki 4500
001 16001392
005 20220326235621.0
006 m o d
007 cr cnu|||unuuu
008 220302s2022 xx o 000 0 eng d
035 $a(OCoLC)on1301430938
035 $a(NNC)16001392
040 $aTYFRS$beng$erda$epn$cTYFRS$dTYFRS$dOCLCO
020 $a9780203719138$q(electronic bk.)
020 $a0203719131$q(electronic bk.)
020 $z9780582244085
020 $a9781351408875$q(electronic bk. : Mobipocket)
020 $a1351408879$q(electronic bk. : Mobipocket)
020 $a9781351408882$q(electronic bk. : EPUB)
020 $a1351408887$q(electronic bk. : EPUB)
020 $a9781351408899$q(electronic bk. : PDF)
020 $a1351408895$q(electronic bk. : PDF)
024 7 $a10.1201/9780203719138$2doi
035 $a(OCoLC)1301430938
037 $a9780203719138$bTaylor & Francis
050 4 $aQA930
072 7 $aMAT$x000000$2bisacsh
072 7 $aPBKJ$2bicssc
082 04 $a533.20151$223
049 $aZCUA
100 1 $aLi, Jiequan,$eauthor.
245 14 $aThe two-dimensional Riemann problem in gas dynamics /$cJiequan Li, Tong Zhang and Shuli Yang.
250 $aFirst edition.
264 1 $a[Place of publication not identified] :$bRoutledge,$c2022.
300 $a1 online resource (312 pages).
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aPitman monographs and surveys in pure and applied mathematics,$x0269-3666 ;$vno. 98
505 0 $aPrefacePreliminariesGeometry of Characteristics and DiscontinuitiesRiemann Solution Geometry of Conservation LawsScalar Conservation LawsOne-Dimensional Scalar Conservation LawsThe Generalized Characteristic Analysis MethodThe Four-Wave Riemann ProblemMach-Reflection-Like Configuration of SolutionsZero-Pressure Gas DynamicsCharacteristics and Bounded DiscontinuitiesSimultaneous Occurrence of Two Blowup MechanismsDelta-Shocks, Generalized Rankine-Hugoniot Relations and Entropy ConditionsThe One-Dimensional Riemann ProblemThe Two-Dimensional Riemann ProblemRiemann Solutions as the Limits of Solutions to Self-Similar Viscous SystemsPressure-Gradient Equations of the Euler SystemThe Pme-Dimensional Riemann ProblemCharacteristics, Discontinuities, Elementary Waves, and ClassificationsThe Existence of Solutions to a Transonic Pressure-Gradient Equation in an Elliptic Region with Degenerate DatumThe Two-Dimensional Riemann Problem and Numerical SolutionsThe Compressible Euler EquationsThe Concepts of Characteristics and DiscontinuitiesPlanar Elementary Waves and ClassificationPSI Approach to Irrotational Isentropic FlowAnalysis of Riemann Solutions and Numerical ResultsTwo-Dimensional Riemann Solutions with AxisymmetryReferencesAuthor Index
520 $aThe Riemann problem is the most fundamental problem in the entire field of non-linear hyperbolic conservation laws. Since first posed and solved in 1860, great progress has been achieved in the one-dimensional case. However, the two-dimensional case is substantially different. Although research interest in it has lasted more than a century, it has yielded almost no analytical demonstration. It remains a great challenge for mathematicians.This volume presents work on the two-dimensional Riemann problem carried out over the last 20 years by a Chinese group. The authors explore four models: scalar conservation laws, compressible Euler equations, zero-pressure gas dynamics, and pressure-gradient equations. They use the method of generalized characteristic analysis plus numerical experiments to demonstrate the elementary field interaction patterns of shocks, rarefaction waves, and slip lines. They also discover a most interesting feature for zero-pressure gas dynamics: a new kind of elementary wave appearing in the interaction of slip lines-a weighted Dirac delta shock of the density function. The Two-Dimensional Riemann Problem in Gas Dynamics establishes the rigorous mathematical theory of delta-shocks and Mach reflection-like patterns for zero-pressure gas dynamics, clarifies the boundaries of interaction of elementary waves, demonstrates the interesting spatial interaction of slip lines, and proposes a series of open problems. With applications ranging from engineering to astrophysics, and as the first book to examine the two-dimensional Riemann problem, this volume will prove fascinating to mathematicians and hold great interest for physicists and engineers.
545 0 $aJiequan Li (Author) , Tong. Zhang (Author) , Shuli Yang (Academia Sinica, Beijing, China)
588 0 $aVendor-supplied metadata.
650 0 $aGas dynamics$xMathematics.
650 0 $aRiemann-Hilbert problems.
650 0 $aConservation laws (Mathematics)
650 0 $aLagrange equations$xNumerical solutions.
650 0 $aFinite differences.
650 6 $aDynamique des gaz$xMathématiques.
650 6 $aRiemann-Hilbert, Problèmes de.
650 6 $aLois de conservation (Mathématiques)
650 6 $aÉquations de Lagrange$xSolutions numériques.
650 6 $aDifférences finies.
650 7 $aMATHEMATICS / General$2bisacsh
655 4 $aElectronic books.
700 1 $aZhang, Tong,$d1932-$eauthor.
700 1 $aYang, Shuli,$eauthor.
830 0 $aPitman monographs and surveys in pure and applied mathematics ;$vno. 98.$x0269-3666
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio16001392$zTaylor & Francis eBooks
852 8 $blweb$hEBOOKS